λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,192,564
42,192,564
22 × 3 × 29 × 263 × 461
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 263 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 102,453,120
Proper Divisor Sum 60,260,556
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #42192551 ← → #42192569

Radix Representation

Decimal 42192564
Binary 10100000111100111010110100 (26 bits)
Octal 0o240747264
Hexadecimal 0x283CEB4

Divisor Catalog (48)

1 2 3 4 6 12 29 58 87 116 174 263 348 461 526 789 922 1,052 1,383 1,578 1,844 2,766 3,156 5,532 7,627 13,369 15,254 22,881 26,738 30,508 40,107 45,762 53,476 80,214 91,524 121,243 160,428 242,486 363,729 484,972 727,458 1,454,916 3,516,047 7,032,094 10,548,141 14,064,188 21,096,282 42,192,564

Collatz Trajectory (152 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

42,192,564 21,096,282 10,548,141 31,644,424 15,822,212 7,911,106 3,955,553 11,866,660 5,933,330 2,966,665 8,899,996 4,449,998 2,224,999 6,674,998 3,337,499 10,012,498 5,006,249 15,018,748 7,509,374 3,754,687 11,264,062 5,632,031 16,896,094 8,448,047 25,344,142 12,672,071 38,016,214 19,008,107 57,024,322 28,512,161 85,536,484 42,768,242 21,384,121 64,152,364 32,076,182 16,038,091 48,114,274 24,057,137 72,171,412 36,085,706 18,042,853 54,128,560 27,064,280 13,532,140 6,766,070 3,383,035 10,149,106 5,074,553 15,223,660 7,611,830 3,805,915 11,417,746 5,708,873 17,126,620 8,563,310 4,281,655 12,844,966 6,422,483 19,267,450 9,633,725

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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